Search a number
-
+
428697025 = 524121012
BaseRepresentation
bin11001100011010…
…110010111000001
31002212200001202121
4121203112113001
51334221301100
6110312244241
713423602361
oct3143262701
91085601677
10428697025
111aaa96469
12bb6a0681
136aa7b4a3
1440d149a1
152798151a
hex198d65c1

428697025 has 27 divisors (see below), whose sum is σ = 550314139. Its totient is φ = 331280000.

The previous prime is 428696993. The next prime is 428697037. The reversal of 428697025 is 520796824.

The square root of 428697025 is 20705.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 265266369 + 163430656 = 16287^2 + 12784^2 .

It is not a de Polignac number, because 428697025 - 25 = 428696993 is a prime.

It is a super-2 number, since 2×4286970252 = 367562278487701250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4244475 + ... + 4244575.

Almost surely, 2428697025 is an apocalyptic number.

428697025 is the 20705-th square number.

428697025 is the 10353-rd centered octagonal number.

It is an amenable number.

428697025 is a deficient number, since it is larger than the sum of its proper divisors (121617114).

428697025 is an equidigital number, since it uses as much as digits as its factorization.

428697025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The cubic root of 428697025 is about 754.0210841292.

It can be divided in two parts, 42869 and 7025, that added together give a palindrome (49894).

The spelling of 428697025 in words is "four hundred twenty-eight million, six hundred ninety-seven thousand, twenty-five".

Divisors: 1 5 25 41 101 205 505 1025 1681 2525 4141 8405 10201 20705 42025 51005 103525 169781 255025 418241 848905 2091205 4244525 10456025 17147881 85739405 428697025